127055822400 has 630 divisors, whose sum is σ = 505800901782. Its totient is φ = 31269888000.

The previous prime is 127055822329. The next prime is 127055822401. The reversal of 127055822400 is 4228550721.

It is a happy number.

127055822400 is a `hidden beast` number, since 1 + 2 + 70 + 5 + 582 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 40294941696 + 86760880704 = 200736^2 + 294552^2 .

It is a super-2 number, since 2×127055822400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (127055822401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 21899500 + ... + 21905300.

Almost surely, 2^127055822400 is an apocalyptic number.

127055822400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127055822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252900450891).

127055822400 is an abundant number, since it is smaller than the sum of its proper divisors (378745079382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127055822400 is a wasteful number, since it uses less digits than its factorization.

127055822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 127055822400 in words is "one hundred twenty-seven billion, fifty-five million, eight hundred twenty-two thousand, four hundred".